46310400 has 264 divisors, whose sum is σ = 172603040. Its totient is φ = 12165120.

The previous prime is 46310387. The next prime is 46310401. The reversal of 46310400 is 401364.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (46310401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691167 + ... + 691233.

Almost surely, 2^46310400 is an apocalyptic number.

46310400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86301520).

46310400 is an abundant number, since it is smaller than the sum of its proper divisors (126292640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46310400 is a wasteful number, since it uses less digits than its factorization.

46310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 46310400 is about 6805.1745018038. The cubic root of 46310400 is about 359.1089072468.

Adding to 46310400 its reverse (401364), we get a palindrome (46711764).

The spelling of 46310400 in words is "forty-six million, three hundred ten thousand, four hundred".